How to Find GCF of 5865/228, 2341/8410?

GCF of 5865/228, 2341/8410

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5865/228, 2341/8410 i.e 1/958740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5865/228, 2341/8410.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5865/228,2341/8410?

Given fractions are 5865/228,2341/8410

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5865/228,2341/8410, numerators are 5865,2341

Denominators are 228,8410

The GCF of 5865,2341 is 1 .

LCM of 228,8410 is 958740.

The greatest common factor of 5865/228,2341/8410 = [GCF of 5865,2341]/[LCM of 228,8410]= 1/958740

Therefore, the GCF of 5865/228,2341/8410 is 1/958740.

Greatest Common Factor of 5865,2341

To find the highest common factor of 5865,2341, we have to find the factors of both numbers and list the highest common factor.

The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865

The factors of 2341 are 1, 2341

The HCF of 5865,2341 is 1.

Lets's calculate GCF of 5865,2341

Greatest Common Factor (GCF) of 5865,2341 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5865,2341 By Matching Biggest Common Factor Method

Now, list down the factors of 5865

1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865

Now, list down the factors of 2341

1,2341

Greatest Common Factor

We found the factors 5865,2341 . The biggest common factor number is the GCF number.
So the greatest common factor 5865,2341 is 1.

Lets's calculate LCM of 228,8410

Lowest Common Multiple of 228,8410 using Common Division

2	228, 8410
	114, 4205

∴ So the LCM of the given numbers is 2 x 114 x 4205 = 958740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/958740

Therefore, the GCF of Fractions 5865/228,2341/8410 is 1/958740

Least Common Multiple of 228,8410 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 228,8410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,8410) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(228,8410) x common factors =2 x 1 = 2

LCM(228,8410) = ( 228 × 8410 ) / 2

LCM(228,8410) = 1917480 / 2

LCM(228,8410) = 958740

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FAQs on GCF of Fractions of 5865/228, 2341/8410

1. What is the HCF of 5865,2341?

The HCF of 5865,2341 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5865/228, 2341/8410?

Answer: GCF of Numerators as per given numbers 5865/228, 2341/8410 is

GCF of Numerators i.e. for 5865,2341 is 1

LCM of denominators i.e. for 228,8410 is 958740.

Thus, GCF of Fractions is 1/958740.Finally, GCF of Fractions for 5865/228, 2341/8410 is 1/958740.